Physics
GATE PH purpose:exam-prep PYQs
Build your understanding with focused practice from past exam papers.
Questions 191–200 of 650. Imported answers require independent review unless marked reviewed.
Question 61
Open questionPHNAT2 marksNeeds review
A particle of mass
in an infinite potential well of width
is subjected to a perturbation,
as shown in figure, where
is Planck’s constant. 
The first order energy shift of the fourth energy eigenstate due to this perturbation is
The value of
is _____ (in integer).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 62
Open questionPHNAT2 marksNeeds review
Consider a three-dimensional system of non-interacting bosons with zero chemical potential. The energy of the system
, where
is the wavevector. The low temperature specific heat of the system at constant volume depends on the temperature as
. The value of
is _____ (in integer).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 63
Open questionPHNAT2 marksNeeds review
Consider the operational amplifier circuit shown in figure.
The output voltage
is ______ V (in integer).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 64
Open questionPHNAT2 marksNeeds review
An electron in the Coulomb field of a proton is in the following state of coherent superposition of orthonormal states
Let
,
, and
represent the first three energy levels of the system. A sequence of measurements is done on the same system at different times. Energy is measured first at time
and the outcome is
. Then total angular momentum is measured at time
and finally energy is measured again at
. The probability of finding the system in a state with energy
after the final measurement is
. The value of
is _____ (in integer).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 65
Open questionPHNAT2 marksNeeds review
According to the nuclear shell model, the absolute value of the difference in magnetic moments of
and
, in the units of nuclear magneton (
) is
. The magnitude of
is _____ (in integer).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 1
Open questionGAMCQ1 markNeeds review
“You are delaying the completion of the task. Send _____ contributions at the earliest.”
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 2
Open questionGAMCQ1 markNeeds review
References : _____ : : Guidelines : Implement (By word meaning)
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 3
Open questionGAMCQ1 markNeeds review
In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.)
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 4
Open questionGAMCQ1 markNeeds review
In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics.
When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college.
Based only on the above information, which one of the following statements can be logically inferred with certainty?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 5
Open questionGAMCQ1 markNeeds review
A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line.
The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be colored black, such that both PQ and MN form lines of symmetry? (The figure is representative)
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer